34880 has 28 divisors (see below), whose sum is σ = 83820. Its totient is φ = 13824.

The previous prime is 34877. The next prime is 34883. The reversal of 34880 is 8843.

It is an interprime number because it is at equal distance from previous prime (34877) and next prime (34883).

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 16384 = 136^2 + 128^2 .

It is a super-2 number, since 2×34880² = 2433228800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266 + ... + 374.

2³⁴⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41910).

34880 is an abundant number, since it is smaller than the sum of its proper divisors (48940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34880 is a wasteful number, since it uses less digits than its factorization.

34880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 34880 is about 186.7618804789. The cubic root of 34880 is about 32.6732366812.

The spelling of 34880 in words is "thirty-four thousand, eight hundred eighty".